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Finding the Fourth Proportional to 315,190.10, 434,953.71 and 171,950.11

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Solution

The fourth proportional to 315,190.10, 434,953.71 and 171,950.11 is: 237,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,190.10 : 434,953.71 = 171,950.11 : x
  2. Step 2: Convert to fraction form
    315,190.10/434,953.71 = 171,950.11/x
  3. Step 3: Cross multiply
    315,190.10x = 434,953.71 × 171,950.11
  4. Step 4: Simplify right side
    315,190.10x = 74,790,337,192.02
  5. Step 5: Solve for x
    x = 74,790,337,192.02/315,190.10
  6. Step 6: Final answer
    x = 237,286.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.